The general scheme for higher-order decompositions of zero-curvature equations associated with \(\widetilde {sl}(2)\)
type: Item
instance of: scholarly article
title: The general scheme for higher-order decompositions of zero-curvature equations associated with \(\widetilde {sl}(2)\)
zbMATH Open document ID: 0896.58036
DOI: 10.1007/BF02029061
author: Yun-Bo Zeng
author: Yi-Shen Li
published in: Acta Mathematicae Applicatae Sinica. English Series
publication date: 1998-10-01T00:00:00Z
review text: Within the framework of zero-curvature representation theory, the authors give a unified treatment on the decomposition of each equation in a hierarchy of zero-curvature equations associated with the loop algebra \(\widetilde{sl}(2)\) by means of higher-order constraints on a potential, and propose the general scheme and uniform formulae for the decompositions. This provides a method of separation of variables to solve a hierarchy of \(1+1\)-dimensional integrable systems. To illustrate the general scheme, new higher-order decompositions of two hierarchies of zero-curvature equations are presented.
Mathematics Subject Classification ID: 37J35
Mathematics Subject Classification ID: 37K10
Mathematics Subject Classification ID: 35Q58
zbMATH DE Number: 1062658
zbMATH Keywords: higher-order constraints
zbMATH Keywords: decomposition
zbMATH Keywords: separation of variables
zbMATH Keywords: zero-curvature equations
reviewed by: Boling Guo
MaRDI profile type: Publication
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full work available at URL: https://doi.org/10.1007/bf02029061
OpenAlex ID: W2329197412
description: scientific article; zbMATH DE number 1062658